# Factor −20x² + x + 12.

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exordiumxThe answer is -(5x-4)(4x+3) Factor out a negative from the entire expression −20x² + x + 12 = −(20x² - x - 12) Find two numbers so that they ⇒ Multiply to get 20 * -12 = -240 ⇒ and add to get -1 (coefficient on x term) These two numbers are -16 and 15 (not very obvious; might have to crunch some numbers) We can break down the x term using -16 and 15 as coefficients on x −(20x² - x - 12) = −(20x² - 16x + 15x - 12) We factor by grouping. Factor 4x out of 20x² - 16x and 3 out of 15x - 12 to get = −[ 4x(5x - 4) + 3(5x - 4) ] Factor out (5x-4) to get = -(5x-4)[4x + 3] = -(5x-4)(4x+3)